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Odd-parity strange baryons $Σ ({\frac{1}{2}}^{-})$ below 1.8 GeV with a Hamiltonian effective field theory

Zhong-Lin Ma ^1,2,3, Zhan-Wei Liu ^1,2,3,*, and Jiong-Jiong Liu ^4,1

¹School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
²Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China
³Lanzhou Center for Theoretical Physics, MoE Frontiers Science Center for Rare Isotopes, Key Laboratory of Quantum Theory and Applications of MoE, Key Laboratory of Theoretical Physics of Gansu Province, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, Lanzhou 730000, China
⁴State Grid Xinjiang Electric Power Research Institute, Urumqi 830011, Xinjiang, China

^*Contact author: liuzhanwei@lzu.edu.cn

Phys. Rev. D 113, 014037 – Published 29 January, 2026

DOI: https://doi.org/10.1103/m32c-wk63

Abstract

We examine the spectrum of the $Σ ({\frac{1}{2}}^{-})$ family based on the experimental $K^{-} p$ scattering data and lattice QCD simulations within the Hamiltonian effective field theory. Especially, two different scenarios are constructed in order to clarify whether there is one or two $Σ ({\frac{1}{2}}^{-})$ resonances with masses around 1.5–1.7 GeV. The relevant lattice QCD data support our scenario with two resonance poles at $1687 - 110 i$ and $1714 - 14 i MeV$ in which the bare strange triquark core plays an important role. We also show an extra clear cusp structure around 1.4 GeV in our scattering T matrices associated with the odd-parity strange baryons.

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References (93)

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Phys. Rev. D 113, 014037– Published 29 January, 2026

Vol. 113, Iss. 1 — 1 January 2026

Received 24 September 2025
Accepted 14 January 2026

DOI: https://doi.org/10.1103/m32c-wk63

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Odd-parity strange baryons $Σ ({\frac{1}{2}}^{-})$ below 1.8 GeV with a Hamiltonian effective field theory

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Odd-parity strange baryons Σ(12−) below 1.8 GeV with a Hamiltonian effective field theory

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Odd-parity strange baryons $Σ ({\frac{1}{2}}^{-})$ below 1.8 GeV with a Hamiltonian effective field theory